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3 years ago

How many cubic units is a box that is 3 units high, 3 units wide, and 2 units deep?

2 answers:

7 0

The volume of a box with dimensions a, b, and c is V=a*b*c

where a, b and c are the length, width and height

So Volume of the box is 3*3*2=9*2=18 (units cubed)

vivado [14]3 years ago

6 0

Answer:

volume of the box is 18 cubic units.

Step-by-step explanation:

A box that measures 3 units high, 3 units wide, and 2 units deep

hieght of the box= 3

lenght of the box is 2 and width of the box is 3

To find cubic units we determine the volume of the box

volume = length times width times height

Volume of the box= $2 \cdot 3 \cdot 3= 18$

the volume of the box is 18 cubic units.

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Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

vesna_86 [32]

Answer:

$f(x) = 3(x -\frac{2}{3})^2 -\frac{22}{3}$

The vertex is $(\frac{2}{3}, -\frac{22}{3})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = 3x ^ 2 -4x -6$

Take common factor 3.

$f(x) = 3(x ^ 2 -\frac{4}{3}x - 2)$

The values of the coefficients for the function within the parenthesis are the following: $a = 1$ , $b = -\frac{4}{3}$ , $c = -2$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= -\frac{2}{3}$

$(\frac{b}{2})^2=\frac{4}{9}$

Add and subtract $\frac{4}{9}$

$f(x) = 3([x ^ 2 -\frac{4}{3}x +\frac{4}{9}]- 2-\frac{4}{9})$

Write the expression of the form

$f(x) = (x-\frac{b}{2})^2 +k$

$f(x) = 3(x -\frac{2}{3})^2 -\frac{22}{3}$

The vertex is $(\frac{2}{3}, -\frac{22}{3})$

3 0

3 years ago

A beverage is made by mixing two parts of water with three part of fruit juice. How many parts of water are mixed with one part

frosja888 [35]

Answer:

2/3

Step-by-step explanation:

good luck !!

3 0

3 years ago

Read 2 more answers

Bayes' theorem provides a way to transform prior probabilities into posterior probabilities. Group of answer choices True False

Dvinal [7]

Answer:

True

Step-by-step explanation:

Bayes' theorem is indeed a way of transforming prior probabilities into posterior probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.

The prior probability in this theorem is the present understanding we possess about the possible outcome of an event based on the current understanding we have about the subject. Posterior probability on the other hand is the new understanding we have of the subject matter based on an experiment that has just been performed on it. Bayes' Theorem finds widespread application which includes the fields of science and finance. In the finance world, for example, Bayes' theorem is used to determine the probability of a debt being repaid by a debtor.

6 0

3 years ago

. Use the statistical features of your calculator to find the mean and the standard deviation to the nearest tenth of a data set

uysha [10]

Answer:

Mean = 1.9

Standard deviation = 0.6

Step-by-step explanation:

The Mean is calculate by the formula:

$Mean = \frac{\text{Sum of all the observation}}{\text{Total number of observation}}$